From plucinsk@head-cfa.harvard.edu Fri Sep 26 14:52:15 1997
Return-Path: <plucinsk@head-cfa.harvard.edu>
Received: from space.mit.edu (space [18.75.0.10]) by starburst.mit.edu  with SMTP
          id OAA07029 for <nss@starburst>; Fri, 26 Sep 1997 14:52:14 -0400 (EDT)
Received: from head-cfa (head-cfa.harvard.edu) by space.mit.edu AA29658; Fri, 26 Sep 97 14:52:07 EDT
Received: from nesvig by head-cfa (SMI-8.6/SMI-SVR4)
	id OAA05139; Fri, 26 Sep 1997 14:52:01 -0400
Message-Id: <199709261852.OAA05139@head-cfa>
To: nss
Subject: BI QE curve 
Date: Fri, 26 Sep 1997 14:52:02 -0400
From: "Paul P. Plucinsky" <plucinsk@head-cfa.harvard.edu>
Status: R
Content-Length: 28041





==============================================================================
Paul P. Plucinsky                       Harvard-Smithsonian Center
plucinsky@cfa.harvard.edu               for Astrophysics, MS 70
Phone:  617-496-7726                    60 Garden Street 
FAX:    617-495-7356                    Cambridge, MA  02138  USA

------- Forwarded Message

Return-Path: <ems@seska>
Received: from seska by head-cfa (SMI-8.6/SMI-SVR4)
	id KAA21685; Fri, 26 Sep 1997 10:26:24 -0400
Received: by seska (SMI-8.6/SMI-SVR4)
	id KAA24257; Fri, 26 Sep 1997 10:21:56 -0400
Date: Fri, 26 Sep 1997 10:21:56 -0400
From: ems@seska (Eric Schlegel)
Message-Id: <199709261421.KAA24257@seska>
To: plucinsk@seska
Subject: RE: BI QE curve
X-UIDL: fdcdf63487fc5b15bb4c705738384242

!Notes for pre-release quantum detection efficiency curve
!for ACIS back-illuminated detector S3 = w134c4r.  
!Note: these data represents work in progress; substantial
!uncertainties pertain. See "intended use" and "notes/bugs" below.
!on "intended use" below.
!14 Sept 97 M. Bautz
!
!Filename: 
!w134c4r_eff_pre_997.qdp
!
!Format: 
!ASCII table suitable for use with qdp. There are two columns:
!1) Energy (keV)
!2) Quantum Efficiency (for ASCA grades 0,2,3,4,6)
!
!Description:
!This file provides  the best currently available  estimate of the 
!quantum efficiency
!of the ACIS S3 CCD detector (MIT Lincoln Laboratory model ccid17, 
!serial number w134c4r, a back-illuminated device.)  
!The data are for ASCA grades 0,2,3,4,6, with
!a split-event threshold of 15 electrons (13 adu; adu= analog-to-digital
!converter units) and an event threshold of 45 electrons (20 adu).
!
!These estimates were derived from MIT CSR subassembly calibration 
!measurements and from XRCF Phase I (flat-field) measurements
!and reflect the spatially averaged detection efficiency of the device.
!
!A simple three-component model of the device response
!was fit to relative quantum efficiency measurements. The model includes
!uniform dead layers of silicon and silicon dioxide; the total thickness
!of the photosensitive region is the third model parameter. 
!
!Two data sets were used. Relative quantum efficiency 
! (QE)  data were obtained at CSR with respect to
!a standard detector (w203c2, a front-illuminated device for
! calibrated at PTB/Bessy)
!To allow joint fits with
!XRCF Phase I data, the MIT relative QE data were converted to relative
!directly efficiencies with respect to the S2 detector, w182c4r, using the
!relative QE of w182c4r and reference detector w103c4r. The BESSY
!calibration of w203c2 was not used in this conversion.
!
!XRCF (ACIS telemetry) data from Phase I provided additional 
!measurements of the QE of w134c4r relative to S2 (w182c4r). At four
!of the six energies sampled by both the XRCF and CSR data 
!(viz., 1.74, 2.1, 4.5 and 8.0 keV), there
!is agreement in the efficiency with respect to S2 within 6%. At
!lower energies (0.53 and 0.7 keV) there are disagreements in the
!the two data sets that are as large as 25%. The source of this
!discrepancy is unknown. 
!Somewhat arbitrarily, we have chosen to ignore the XRCF data at 
!0.525 and 0.705 keV, although we include XRCF phase I data at 0.277 keV,
!in the process of modeeling the QE of w134c4r.
!
!The relative QE of w134c4r (S3)  with respect to w182c4r(S2) was
!converted to an absolute detection efficiency using the best-fit
!model for the absolute detection efficiency of w182c4r contained
!in w182c4r_eff_997.qdp.  Data used in the fit are listed below:
!
!Absolute QE of w134c4r obtained from relative QE measurements at MIT
!follows:
!	Energy	QE 
!	(kev)   (g02346)
!	0.525 1.003 
!	0.677 0.888 
!	1.74 0.9844 
!	2.015 0.9636 
!	4.509 0.96 
!	5.894 0.7497 
!	6.399 0.6536 
!	8.04 0.415368 
!
!The absolute QE of w134c4r obtained from relative QE measurements 
!with respect to S2 at XRCF follows:
!	Energy	QE 
!	(kev)   (g02346)
!	0.277 0.9639 
!	0.525 1.1424  (excluded from w134c4r model fit)
!	0.705 1.2382  (excluded from w134c4r model fit)
!	1.489 0.9856 
!	1.74 1.0028 
!	2.166 0.9782 
!	4.509 0.9024 
!	8.04 0.43416 
!
!The best-fit model parameters for w134c4r used to generate this
!curve follow:						90% 1-parm conf. int.
!	Deadlayer Silicon Thickness: 	1.e-4 microns 	
!	Deadlayer Si02 Thickness:	2.3e-2 microns	(-2.e-3,+7.3e-3)
!	Photo-sensitive Thickness	39.7 microns	(+-4 microns)
!
!Intended use:
!This curve is intended for use by ASC to illustrate the performance of
!ACIS back-illuminated detectors. Given the (yet-to-be-resolved) 
!inconsistencies
!in data analyzed to date, it is difficult to assign an accurate errors
!to this QE estimate. See notes for an attempt. In any event, 
!THIS CURVE SHOULD NOT BE USED FOR PURPOSES  REQUIRING ERRORS LESS
!THAN 25% BELOW 1.5 keV.
!
!Notes/Bugs: 
!1. Given as-yet unexplained inconsistencies between MIT and XRCF
!data below 1.5 keV (see above), it is not possible to form reliable error 
! estimates for this qe curve in this spectral region. Taking the magnitude 
!of the
!inconsistencies as a measure of the likely uncertainties suggests
!errors no greater than  10% at energies exceeding 1.5 kev.  Errors at 
!lower energies are undoutedly  larger, and 
!may be  as large as 25% in the immediate vicinity of the oxygen edge.
!
!2. The relative QE data from MIT CSR should be reanalyzed and related 
! directly  to BESSY-calibration of w203c2. Additional data (comparing 
!w134c4r to w147c3, a BESSY-calibrated, back-illuminated  device) should
!be used to constrain the quantum efficiency model.
!
!3. The quantum efficiency model effectively assumes branching ratios
!which are independent of energy for both front- and back-illuminated devices.
!This assumption is not strictly correct.
!
!4. The quantum efficiency w134c4r is similar to that of  
!the other back-illuminated device in the ACIS focal plane, w140c4r(S1) at 
!energies low energies (less than 4 keV), but S3 is considerably 
!more efficient than S1 at higher energies (25% more efficient at 8 keV).
!
!5. Spatial variations in detection efficiency across w134c4r can be as large 
!as 15-20%, RMS. 
!
!6. The model qe data in this file (w134c4r_eff_pre_997.qdp) are replica of
!/benz/h4/mwb/asc/obs_guide/qe/newbi/w134c4r_model_data_rev.qdp of
! 0637 Sep 15 
!E(keV) QE(g02346)
0.050000 0.006444
0.060000 0.034972
0.070000 0.093089
0.080000 0.171954
0.090000 0.258627
0.100000 0.343643
0.110000 0.421949
0.120000 0.491588
0.130000 0.552341
0.140000 0.604823
0.150000 0.649967
0.160000 0.688768
0.170000 0.722159
0.180000 0.750969
0.190000 0.775908
0.200000 0.797577
0.210000 0.816478
0.220000 0.833032
0.230000 0.847587
0.240000 0.860435
0.250000 0.871818
0.260000 0.881942
0.270000 0.890977
0.280000 0.899067
0.290000 0.906334
0.300000 0.912883
0.310000 0.918801
0.320000 0.924164
0.330000 0.929038
0.340000 0.933478
0.350000 0.937532
0.360000 0.941243
0.370000 0.944647
0.380000 0.947776
0.390000 0.950659
0.400000 0.953319
0.410000 0.955779
0.420000 0.958057
0.430000 0.960171
0.440000 0.962135
0.450000 0.963964
0.460000 0.965668
0.470000 0.967259
0.480000 0.968747
0.490000 0.970139
0.500000 0.971444
0.510000 0.972668
0.520000 0.973819
0.530000 0.974901
0.540000 0.919768
0.550000 0.923122
0.560000 0.926294
0.570000 0.929294
0.580000 0.932136
0.590000 0.934828
0.600000 0.937381
0.610000 0.939803
0.620000 0.942102
0.630000 0.944287
0.640000 0.946364
0.650000 0.948340
0.660000 0.950220
0.670000 0.952011
0.680000 0.953717
0.690000 0.955344
0.700000 0.956896
0.710000 0.958377
0.720000 0.959792
0.730000 0.961144
0.740000 0.962436
0.750000 0.963671
0.760000 0.964854
0.770000 0.965985
0.780000 0.967069
0.790000 0.968108
0.800000 0.969104
0.810000 0.970059
0.820000 0.970975
0.830000 0.971854
0.839999 0.972698
0.849999 0.973509
0.859999 0.974289
0.869999 0.975038
0.879999 0.975758
0.889999 0.976452
0.899999 0.977119
0.909999 0.977761
0.919999 0.978380
0.929999 0.978976
0.939999 0.979550
0.949999 0.980104
0.959999 0.980638
0.969999 0.981153
0.979999 0.981650
0.989999 0.982130
0.999999 0.982594
1.009999 0.983041
1.019999 0.983473
1.029999 0.983891
1.039999 0.984294
1.049999 0.984684
1.059999 0.985062
1.069999 0.985426
1.079999 0.985778
1.089999 0.986119
1.099999 0.986448
1.109999 0.986766
1.119999 0.987073
1.129999 0.987369
1.139999 0.987655
1.149999 0.987930
1.159999 0.988194
1.169999 0.988448
1.179999 0.988692
1.189999 0.988924
1.199999 0.989146
1.209999 0.989356
1.219999 0.989554
1.229999 0.989740
1.239999 0.989913
1.249999 0.990074
1.259999 0.990220
1.269999 0.990351
1.279999 0.990467
1.289999 0.990567
1.299999 0.990649
1.309999 0.990712
1.319999 0.990757
1.329999 0.990780
1.339999 0.990782
1.349999 0.990760
1.359999 0.990714
1.369999 0.990642
1.379999 0.990542
1.389999 0.990414
1.399999 0.990256
1.409999 0.990066
1.419999 0.989842
1.429999 0.989584
1.439999 0.989289
1.449999 0.988956
1.459999 0.988584
1.469999 0.988171
1.479999 0.987715
1.489999 0.987215
1.499999 0.986670
1.509999 0.986078
1.519999 0.985437
1.529999 0.984747
1.539999 0.984006
1.549999 0.983212
1.559999 0.982365
1.569999 0.981464
1.579999 0.980506
1.589999 0.979493
1.599999 0.978421
1.609999 0.977291
1.619999 0.976102
1.629999 0.974852
1.639999 0.973542
1.649999 0.972171
1.659999 0.970738
1.669999 0.969242
1.679999 0.967685
1.689999 0.966064
1.699999 0.964380
1.709999 0.962633
1.719999 0.960823
1.729999 0.958950
1.739999 0.957013
1.749999 0.955014
1.759999 0.952952
1.769999 0.950828
1.779999 0.948641
1.789999 0.946393
1.799999 0.944084
1.809999 0.941714
1.819999 0.939284
1.829999 0.936795
1.839999 0.934247
1.849999 0.988696
1.859999 0.988851
1.869999 0.989004
1.879999 0.989153
1.889999 0.989301
1.899999 0.989445
1.909999 0.989587
1.919999 0.989726
1.929999 0.989863
1.939999 0.989997
1.949998 0.990129
1.959998 0.990259
1.969998 0.990387
1.979998 0.990512
1.989998 0.990635
1.999998 0.990756
2.009999 0.990875
2.019999 0.990992
2.029999 0.991107
2.039999 0.991219
2.049999 0.991331
2.059999 0.991440
2.069999 0.991547
2.079998 0.991653
2.089998 0.991756
2.099998 0.991859
2.109998 0.991959
2.119998 0.992058
2.129998 0.992155
2.139998 0.992251
2.149998 0.992345
2.159998 0.992437
2.169998 0.992528
2.179998 0.992618
2.189998 0.992706
2.199998 0.992793
2.209998 0.992878
2.219998 0.992962
2.229998 0.993045
2.239998 0.993127
2.249998 0.993207
2.259998 0.993286
2.269998 0.993364
2.279998 0.993440
2.289998 0.993516
2.299998 0.993590
2.309998 0.993663
2.319998 0.993735
2.329998 0.993806
2.339998 0.993876
2.349998 0.993945
2.359998 0.994013
2.369998 0.994079
2.379998 0.994145
2.389998 0.994210
2.399998 0.994274
2.409998 0.994337
2.419998 0.994399
2.429998 0.994460
2.439998 0.994520
2.449998 0.994580
2.459998 0.994638
2.469998 0.994696
2.479998 0.994753
2.489998 0.994809
2.499998 0.994864
2.509998 0.994918
2.519998 0.994972
2.529998 0.995025
2.539998 0.995077
2.549998 0.995128
2.559998 0.995179
2.569998 0.995229
2.579998 0.995278
2.589998 0.995327
2.599998 0.995375
2.609998 0.995422
2.619998 0.995468
2.629998 0.995514
2.639998 0.995559
2.649998 0.995604
2.659998 0.995648
2.669998 0.995691
2.679998 0.995733
2.689998 0.995775
2.699998 0.995817
2.709998 0.995857
2.719998 0.995897
2.729998 0.995937
2.739998 0.995975
2.749998 0.996014
2.759998 0.996051
2.769998 0.996088
2.779998 0.996124
2.789998 0.996160
2.799998 0.996195
2.809998 0.996229
2.819998 0.996263
2.829998 0.996296
2.839998 0.996328
2.849998 0.996360
2.859998 0.996390
2.869998 0.996421
2.879998 0.996450
2.889998 0.996479
2.899998 0.996507
2.909998 0.996534
2.919998 0.996561
2.929998 0.996586
2.939998 0.996611
2.949998 0.996635
2.959998 0.996658
2.969998 0.996680
2.979998 0.996701
2.989998 0.996722
2.999998 0.996741
3.009998 0.996759
3.019998 0.996776
3.029998 0.996793
3.039998 0.996808
3.049998 0.996821
3.059998 0.996834
3.069998 0.996845
3.079998 0.996856
3.089998 0.996864
3.099998 0.996872
3.109998 0.996878
3.119998 0.996882
3.129997 0.996885
3.139997 0.996887
3.149997 0.996887
3.159997 0.996885
3.169997 0.996881
3.179997 0.996876
3.189997 0.996868
3.199997 0.996859
3.209997 0.996848
3.219997 0.996835
3.229997 0.996819
3.239997 0.996802
3.249997 0.996782
3.259997 0.996760
3.269997 0.996735
3.279997 0.996708
3.289997 0.996678
3.299997 0.996646
3.309997 0.996611
3.319997 0.996573
3.329997 0.996532
3.339997 0.996488
3.349997 0.996441
3.359997 0.996392
3.369997 0.996338
3.379997 0.996282
3.389997 0.996222
3.399997 0.996158
3.409997 0.996091
3.419997 0.996021
3.429997 0.995946
3.439997 0.995868
3.449997 0.995785
3.459997 0.995699
3.469997 0.995608
3.479997 0.995513
3.489997 0.995414
3.499997 0.995310
3.509997 0.995202
3.519997 0.995088
3.529997 0.994971
3.539997 0.994848
3.549997 0.994720
3.559997 0.994587
3.569997 0.994449
3.579997 0.994306
3.589997 0.994157
3.599997 0.994003
3.609997 0.993843
3.619997 0.993677
3.629997 0.993506
3.639997 0.993329
3.649997 0.993145
3.659997 0.992956
3.669997 0.992760
3.679997 0.992558
3.689997 0.992350
3.699997 0.992135
3.709997 0.991913
3.719997 0.991685
3.729997 0.991450
3.739997 0.991208
3.749997 0.990959
3.759997 0.990703
3.769997 0.990439
3.779997 0.990169
3.789997 0.989891
3.799997 0.989605
3.809997 0.989312
3.819997 0.989011
3.829997 0.988703
3.839997 0.988386
3.849997 0.988062
3.859997 0.987730
3.869997 0.987389
3.879997 0.987040
3.889997 0.986683
3.899997 0.986318
3.909997 0.985945
3.919997 0.985562
3.929997 0.985172
3.939997 0.984772
3.949997 0.984364
3.959997 0.983947
3.969997 0.983521
3.979997 0.983087
3.989997 0.982643
3.999997 0.982190
4.009997 0.981728
4.019997 0.981257
4.029997 0.980777
4.039998 0.980287
4.049998 0.979789
4.059998 0.979280
4.069998 0.978763
4.079998 0.978235
4.089999 0.977699
4.099999 0.977152
4.109999 0.976596
4.119999 0.976031
4.130000 0.975455
4.140000 0.974870
4.150000 0.974275
4.160000 0.973671
4.170001 0.973056
4.180001 0.972432
4.190001 0.971797
4.200001 0.971153
4.210001 0.970499
4.220002 0.969835
4.230002 0.969160
4.240002 0.968476
4.250002 0.967782
4.260003 0.967078
4.270003 0.966364
4.280003 0.965639
4.290003 0.964905
4.300004 0.964160
4.310004 0.963406
4.320004 0.962641
4.330004 0.961867
4.340004 0.961082
4.350005 0.960287
4.360005 0.959482
4.370005 0.958667
4.380005 0.957842
4.390006 0.957007
4.400006 0.956162
4.410006 0.955307
4.420006 0.954441
4.430007 0.953566
4.440007 0.952681
4.450007 0.951786
4.460007 0.950881
4.470007 0.949966
4.480008 0.949041
4.490008 0.948107
4.500008 0.947162
4.510008 0.946208
4.520009 0.945244
4.530009 0.944270
4.540009 0.943287
4.550009 0.942294
4.560009 0.941291
4.570010 0.940279
4.580010 0.939257
4.590010 0.938226
4.600010 0.937185
4.610011 0.936135
4.620011 0.935076
4.630011 0.934007
4.640011 0.932929
4.650012 0.931841
4.660012 0.930745
4.670012 0.929639
4.680012 0.928524
4.690012 0.927401
4.700013 0.926268
4.710013 0.925126
4.720013 0.923976
4.730013 0.922817
4.740014 0.921649
4.750014 0.920472
4.760014 0.919287
4.770014 0.918093
4.780015 0.916891
4.790015 0.915680
4.800015 0.914461
4.810015 0.913234
4.820015 0.911998
4.830016 0.910754
4.840016 0.909503
4.850016 0.908243
4.860016 0.906975
4.870017 0.905699
4.880017 0.904416
4.890017 0.903124
4.900017 0.901825
4.910017 0.900519
4.920018 0.899205
4.930018 0.897883
4.940018 0.896554
4.950018 0.895218
4.960019 0.893874
4.970019 0.892524
4.980019 0.891166
4.990019 0.889801
5.000020 0.888429
5.010020 0.887051
5.020020 0.885665
5.030020 0.884273
5.040020 0.882874
5.050021 0.881469
5.060021 0.880057
5.070021 0.878639
5.080021 0.877214
5.090022 0.875783
5.100022 0.874347
5.110022 0.872903
5.120022 0.871454
5.130023 0.869999
5.140023 0.868538
5.150023 0.867072
5.160023 0.865600
5.170023 0.864122
5.180024 0.862638
5.190024 0.861149
5.200024 0.859655
5.210024 0.858155
5.220025 0.856650
5.230025 0.855140
5.240025 0.853625
5.250025 0.852105
5.260026 0.850580
5.270026 0.849050
5.280026 0.847515
5.290026 0.845976
5.300026 0.844432
5.310027 0.842884
5.320027 0.841331
5.330027 0.839774
5.340027 0.838213
5.350028 0.836647
5.360028 0.835077
5.370028 0.833503
5.380028 0.831925
5.390028 0.830344
5.400029 0.828758
5.410029 0.827169
5.420029 0.825576
5.430029 0.823979
5.440030 0.822379
5.450030 0.820776
5.460030 0.819169
5.470030 0.817558
5.480031 0.815945
5.490031 0.814328
5.500031 0.812709
5.510031 0.811086
5.520031 0.809461
5.530032 0.807832
5.540032 0.806201
5.550032 0.804567
5.560032 0.802930
5.570033 0.801291
5.580033 0.799650
5.590033 0.798005
5.600033 0.796359
5.610034 0.794710
5.620034 0.793059
5.630034 0.791406
5.640034 0.789751
5.650034 0.788094
5.660035 0.786435
5.670035 0.784774
5.680035 0.783111
5.690035 0.781446
5.700036 0.779780
5.710036 0.778112
5.720036 0.776442
5.730036 0.774772
5.740036 0.773099
5.750037 0.771425
5.760037 0.769750
5.770037 0.768074
5.780037 0.766397
5.790038 0.764718
5.800038 0.763038
5.810038 0.761358
5.820038 0.759676
5.830039 0.757994
5.840039 0.756310
5.850039 0.754626
5.860039 0.752941
5.870039 0.751256
5.880040 0.749570
5.890040 0.747884
5.900040 0.746197
5.910040 0.744509
5.920041 0.742821
5.930041 0.741133
5.940041 0.739445
5.950041 0.737757
5.960042 0.736068
5.970042 0.734379
5.980042 0.732690
5.990042 0.731002
6.000042 0.729313
6.010043 0.727624
6.020043 0.725936
6.030043 0.724248
6.040043 0.722560
6.050044 0.720872
6.060044 0.719185
6.070044 0.717498
6.080044 0.715811
6.090044 0.714125
6.100045 0.712440
6.110045 0.710755
6.120045 0.709071
6.130045 0.707387
6.140046 0.705704
6.150046 0.704023
6.160046 0.702341
6.170046 0.700661
6.180047 0.698981
6.190047 0.697303
6.200047 0.695626
6.210047 0.693949
6.220047 0.692274
6.230048 0.690599
6.240048 0.688926
6.250048 0.687254
6.260048 0.685583
6.270049 0.683914
6.280049 0.682246
6.290049 0.680579
6.300049 0.678913
6.310050 0.677249
6.320050 0.675587
6.330050 0.673925
6.340050 0.672266
6.350050 0.670608
6.360051 0.668951
6.370051 0.667296
6.380051 0.665643
6.390051 0.663992
6.400052 0.662342
6.410052 0.660694
6.420052 0.659047
6.430052 0.657403
6.440053 0.655760
6.450053 0.654119
6.460053 0.652481
6.470053 0.650844
6.480053 0.649209
6.490054 0.647576
6.500054 0.645945
6.510054 0.644316
6.520054 0.642689
6.530055 0.641065
6.540055 0.639442
6.550055 0.637822
6.560055 0.636204
6.570055 0.634588
6.580056 0.632974
6.590056 0.631362
6.600056 0.629753
6.610056 0.628146
6.620057 0.626541
6.630057 0.624939
6.640057 0.623340
6.650057 0.621742
6.660058 0.620147
6.670058 0.618555
6.680058 0.616964
6.690058 0.615377
6.700058 0.613792
6.710059 0.612209
6.720059 0.610629
6.730059 0.609052
6.740059 0.607477
6.750060 0.605905
6.760060 0.604335
6.770060 0.602768
6.780060 0.601204
6.790061 0.599642
6.800061 0.598084
6.810061 0.596528
6.820061 0.594974
6.830061 0.593424
6.840062 0.591876
6.850062 0.590330
6.860062 0.588788
6.870062 0.587249
6.880063 0.585712
6.890063 0.584178
6.900063 0.582647
6.910063 0.581119
6.920063 0.579594
6.930064 0.578072
6.940064 0.576553
6.950064 0.575036
6.960064 0.573523
6.970065 0.572012
6.980065 0.570505
6.990065 0.569000
7.000065 0.567499
7.010066 0.566000
7.020066 0.564505
7.030066 0.563012
7.040066 0.561523
7.050066 0.560037
7.060067 0.558553
7.070067 0.557073
7.080067 0.555596
7.090067 0.554122
7.100068 0.552651
7.110068 0.551183
7.120068 0.549718
7.130068 0.548257
7.140069 0.546798
7.150069 0.545343
7.160069 0.543891
7.170069 0.542442
7.180069 0.540996
7.190070 0.539553
7.200070 0.538114
7.210070 0.536678
7.220070 0.535245
7.230071 0.533815
7.240071 0.532388
7.250071 0.530965
7.260071 0.529544
7.270072 0.528127
7.280072 0.526713
7.290072 0.525303
7.300072 0.523896
7.310072 0.522492
7.320073 0.521091
7.330073 0.519693
7.340073 0.518299
7.350073 0.516908
7.360074 0.515520
7.370074 0.514136
7.380074 0.512755
7.390074 0.511377
7.400074 0.510002
7.410075 0.508631
7.420075 0.507263
7.430075 0.505898
7.440075 0.504537
7.450076 0.503179
7.460076 0.501824
7.470076 0.500472
7.480076 0.499124
7.490077 0.497779
7.500077 0.496438
7.510077 0.495099
7.520077 0.493764
7.530077 0.492433
7.540078 0.491104
7.550078 0.489779
7.560078 0.488458
7.570078 0.487139
7.580079 0.485824
7.590079 0.484512
7.600079 0.483204
7.610079 0.481899
7.620080 0.480597
7.630080 0.479298
7.640080 0.478003
7.650080 0.476711
7.660080 0.475423
7.670081 0.474138
7.680081 0.472856
7.690081 0.471577
7.700081 0.470302
7.710082 0.469030
7.720082 0.467761
7.730082 0.466496
7.740082 0.465234
7.750082 0.463975
7.760083 0.462720
7.770083 0.461468
7.780083 0.460219
7.790083 0.458974
7.800084 0.457731
7.810084 0.456493
7.820084 0.455257
7.830084 0.454025
7.840085 0.452796
7.850085 0.451570
7.860085 0.450348
7.870085 0.449129
7.880085 0.447913
7.890086 0.446700
7.900086 0.445491
7.910086 0.444285
7.920086 0.443082
7.930087 0.441882
7.940087 0.440686
7.950087 0.439493
7.960087 0.438304
7.970088 0.437117
7.980088 0.435934
7.990088 0.434754
8.000088 0.433577
8.010088 0.432404
8.020088 0.431234
8.030088 0.430067
8.040089 0.428903
8.050089 0.427742
8.060089 0.426585
8.070089 0.425431
8.080090 0.424280
8.090090 0.423132
8.100090 0.421988
8.110090 0.420846
8.120090 0.419708
8.130091 0.418573
8.140091 0.417441
8.150091 0.416313
8.160091 0.415187
8.170092 0.414065
8.180092 0.412946
8.190092 0.411830
8.200092 0.410717
8.210093 0.409608
8.220093 0.408501
8.230093 0.407398
8.240093 0.406298
8.250093 0.405201
8.260094 0.404107
8.270094 0.403016
8.280094 0.401928
8.290094 0.400844
8.300095 0.399762
8.310095 0.398684
8.320095 0.397608
8.330095 0.396536
8.340096 0.395467
8.350096 0.394401
8.360096 0.393338
8.370096 0.392278
8.380096 0.391221
8.390097 0.390167
8.400097 0.389116
8.410097 0.388068
8.420097 0.387024
8.430098 0.385982
8.440098 0.384943
8.450098 0.383908
8.460098 0.382875
8.470098 0.381845
8.480099 0.380819
8.490099 0.379795
8.500099 0.378774
8.510099 0.377756
8.520100 0.376742
8.530100 0.375730
8.540100 0.374721
8.550100 0.373715
8.560101 0.372712
8.570101 0.371712
8.580101 0.370715
8.590101 0.369721
8.600101 0.368730
8.610102 0.367741
8.620102 0.366756
8.630102 0.365773
8.640102 0.364794
8.650103 0.363817
8.660103 0.362843
8.670103 0.361872
8.680103 0.360904
8.690104 0.359939
8.700104 0.358977
8.710104 0.358017
8.720104 0.357060
8.730104 0.356106
8.740105 0.355155
8.750105 0.354207
8.760105 0.353262
8.770105 0.352319
8.780106 0.351379
8.790106 0.350442
8.800106 0.349508
8.810106 0.348577
8.820107 0.347648
8.830107 0.346722
8.840107 0.345799
8.850107 0.344879
8.860107 0.343961
8.870108 0.343046
8.880108 0.342134
8.890108 0.341225
8.900108 0.340318
8.910109 0.339414
8.920109 0.338512
8.930109 0.337614
8.940109 0.336718
8.950109 0.335825
8.960110 0.334934
8.970110 0.334046
8.980110 0.333161
8.990110 0.332278
9.000111 0.331399
9.010111 0.330521
9.020111 0.329647
9.030111 0.328775
9.040112 0.327905
9.050112 0.327038
9.060112 0.326174
9.070112 0.325313
9.080112 0.324454
9.090113 0.323597
9.100113 0.322743
9.110113 0.321892
9.120113 0.321043
9.130114 0.320197
9.140114 0.319354
9.150114 0.318513
9.160114 0.317674
9.170115 0.316838
9.180115 0.316005
9.190115 0.315174
9.200115 0.314346
9.210115 0.313520
9.220116 0.312696
9.230116 0.311875
9.240116 0.311057
9.250116 0.310241
9.260117 0.309427
9.270117 0.308616
9.280117 0.307808
9.290117 0.307002
9.300117 0.306198
9.310118 0.305397
9.320118 0.304598
9.330118 0.303801
9.340118 0.303007
9.350119 0.302216
9.360119 0.301427
9.370119 0.300640
9.380119 0.299855
9.390120 0.299073
9.400120 0.298294
9.410120 0.297516
9.420120 0.296741
9.430120 0.295969
9.440121 0.295198
9.450121 0.294430
9.460121 0.293665
9.470121 0.292902
9.480122 0.292141
9.490122 0.291382
9.500122 0.290626
9.510122 0.289872
9.520123 0.289120
9.530123 0.288370
9.540123 0.287623
9.550123 0.286878
9.560123 0.286135
9.570124 0.285395
9.580124 0.284657
9.590124 0.283921
9.600124 0.283187
9.610125 0.282456
9.620125 0.281727
9.630125 0.280999
9.640125 0.280275
9.650126 0.279552
9.660126 0.278832
9.670126 0.278113
9.680126 0.277397
9.690126 0.276683
9.700127 0.275972
9.710127 0.275262
9.720127 0.274555
9.730127 0.273849
9.740128 0.273146
9.750128 0.272445
9.760128 0.271747
9.770128 0.271050
9.780128 0.270355
9.790129 0.269663
9.800129 0.268972
9.810129 0.268284
9.820129 0.267598
9.830130 0.266914
9.840130 0.266232
9.850130 0.265552
9.860130 0.264874
9.870131 0.264198
9.880131 0.263524
9.890131 0.262852
9.900131 0.262183
9.910131 0.261515
9.920132 0.260849
9.930132 0.260186
9.940132 0.259524
9.950132 0.258864
9.960133 0.258207
9.970133 0.257551
9.980133 0.256898
9.990133 0.256246
10.000134 0.255596
10.010134 0.254949
10.020134 0.254303
10.030134 0.253659
10.040134 0.253017
10.050135 0.252377
10.060135 0.251739
10.070135 0.251103
10.080135 0.250469
10.090136 0.249837
10.100136 0.249207
10.110136 0.248579
10.120136 0.247952
10.130136 0.247328
10.140137 0.246705
10.150137 0.246084
10.160137 0.245465
10.170137 0.244848
10.180138 0.244233
10.190138 0.243620
10.200138 0.243008
10.210138 0.242399
10.220139 0.241791
10.230139 0.241185
10.240139 0.240581
10.250139 0.239979
10.260139 0.239379
10.270140 0.238780
10.280140 0.238183
10.290140 0.237588
10.300140 0.236995
10.310141 0.236404
10.320141 0.235814
10.330141 0.235226
10.340141 0.234640
10.350142 0.234056
10.360142 0.233473
10.370142 0.232892
10.380142 0.232313
10.390142 0.231736
10.400143 0.231161
10.410143 0.230587
10.420143 0.230015
10.430143 0.229444
10.440144 0.228876
10.450144 0.228309
10.460144 0.227743
10.470144 0.227180
10.480145 0.226618
10.490145 0.226058
10.500145 0.225499
10.510145 0.224943
10.520145 0.224388
10.530146 0.223834
10.540146 0.223282
10.550146 0.222732
10.560146 0.222184
10.570147 0.221637
10.580147 0.221092
10.590147 0.220548
10.600147 0.220006
10.610147 0.219466
10.620148 0.218927
10.630148 0.218390
10.640148 0.217855
10.650148 0.217321
10.660149 0.216789
10.670149 0.216258
10.680149 0.215729
10.690149 0.215201
10.700150 0.214676
10.710150 0.214151
10.720150 0.213629
10.730150 0.213107
10.740150 0.212588
10.750151 0.212070
10.760151 0.211553
10.770151 0.211038
10.780151 0.210525
10.790152 0.210013
10.800152 0.209502
10.810152 0.208993
10.820152 0.208486
10.830153 0.207980
10.840153 0.207476
10.850153 0.206973
10.860153 0.206472
10.870153 0.205972
10.880154 0.205473
10.890154 0.204976
10.900154 0.204481
10.910154 0.203987
10.920155 0.203495
10.930155 0.203004
10.940155 0.202514
10.950155 0.202026
10.960155 0.201539
10.970156 0.201054
10.980156 0.200570
10.990156 0.200088
11.000156 0.199607
11.010157 0.199128
11.020157 0.198650
11.030157 0.198173
11.040157 0.197698
11.050158 0.197224
11.060158 0.196751
11.070158 0.196280
11.080158 0.195811
11.090158 0.195343
11.100159 0.194876
11.110159 0.194410
11.120159 0.193946
11.130159 0.193483
11.140160 0.193022
11.150160 0.192562
11.160160 0.192103
11.170160 0.191646
11.180161 0.191190
11.190161 0.190736
11.200161 0.190282
11.210161 0.189830
11.220161 0.189380
11.230162 0.188930
11.240162 0.188482
11.250162 0.188036
11.260162 0.187590
11.270163 0.187146
11.280163 0.186704
11.290163 0.186262
11.300163 0.185822
11.310163 0.185383
11.320164 0.184946
11.330164 0.184509
11.340164 0.184075
11.350164 0.183641
11.360165 0.183208
11.370165 0.182777
11.380165 0.182347
11.390165 0.181919
11.400166 0.181491
11.410166 0.181065
11.420166 0.180640
11.430166 0.180216
11.440166 0.179794
11.450167 0.179373
11.460167 0.178953
11.470167 0.178534
11.480167 0.178117
11.490168 0.177700
11.500168 0.177285
11.510168 0.176871
11.520168 0.176458
11.530169 0.176047
11.540169 0.175637
11.550169 0.175228
11.560169 0.174820
11.570169 0.174413
11.580170 0.174007
11.590170 0.173603
11.600170 0.173200
11.610170 0.172798
11.620171 0.172397
11.630171 0.171997
11.640171 0.171599
11.650171 0.171201
11.660172 0.170805
11.670172 0.170410
11.680172 0.170016
11.690172 0.169623
11.700172 0.169231
11.710173 0.168841
11.720173 0.168451
11.730173 0.168063
11.740173 0.167676
11.750174 0.167290
11.760174 0.166905
11.770174 0.166521
11.780174 0.166138
11.790174 0.165757
11.800175 0.165376
11.810175 0.164997
11.820175 0.164618
11.830175 0.164241
11.840176 0.163865
11.850176 0.163490
11.860176 0.163116
11.870176 0.162743
11.880177 0.162371
11.890177 0.162000
11.900177 0.161630
11.910177 0.161262
11.920177 0.160894
11.930178 0.160527
11.940178 0.160162
11.950178 0.159797
11.960178 0.159434
11.970179 0.159071
11.980179 0.158710
11.990179 0.158350
11.990179 0.158350


------- End of Forwarded Message


